TY  - JOUR
PB  - IEEE
EP  - 1406
IS  - 4
SP  - 1394
UR  - http://doi.org/10.1109/TCST.2015.2488589
JF  - IEEE Transactions on Control Systems Technology
VL  - 24
N2  - The problem of steering a nonholonomic mobile robot to a desired position and orientation is considered. In this paper, a model predictive control (MPC) scheme based on tailored nonquadratic stage cost is proposed to fulfill this control task. We rigorously prove asymptotic stability while neither stabilizing constraints nor costs are used. To this end, we first design suitable maneuvers to construct bounds on the value function. Second, these bounds are exploited to determine a prediction horizon length such that the asymptotic stability of the MPC closed loop is guaranteed. Finally, numerical simulations are conducted to explain the necessity of having nonquadratic running costs.
AV  - restricted
SN  - 1063-6536
A1  - Worthmann, Karl
A1  - Mehrez, Mohamed W.
A1  - Zanon, Mario
A1  - Mann, George K. I.
A1  - Gosine, Raymond G.
A1  - Diehl, Moritz
TI  - Model Predictive Control of Nonholonomic Mobile Robots Without Stabilizing Constraints and Costs
Y1  - 2016///
ID  - eprints4012
ER  -